A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?

A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556

MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

$\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}$

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then, $\overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560$

Now, $\sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76$

Then, $\sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76$

Hence, the standard deviation of his measurements = 2.76 g

6 0

3 years ago

A rope is 250 centimeters long. You need the rope to be 1 1/2 meters long. How many centimeters should you cut off?

Drupady [299]

If you would like to know how many centimeters should you cut off, you can calculate this using the following steps:

1 1/2 meters = 3/2 meters = 1.5 meters = 150 centimeters

250 centimeters - 1 1/2 meters = 250 centimeters - 150 centimeters = 100 centimeters = 1 meter

The correct result would be 100 centimeters.

6 0

2 years ago

Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot rep

RUDIKE [14]

Answer:

where is the dot plot??

Step-by-step explanation:

7 0

2 years ago

Multiply. (8×102)⋅(2.5×102) brainiest if correct good luck

gtnhenbr [62]

Answer:

208080

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The ta

lukranit [14]

The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

Yes there is a strong positive correlation

Part B:

The function is y = 5•x + 2

Part C:

The slope indicates the number of units produced by each worker daily

The y-intercept indicates that two units can be produced without workers.

<h3>How can the existence of a correlation and the best fit function for the data be found?</h3>

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

There is a strong positive correlation between the number of workers, x, and the number of units produced, y.

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;

Slope of the equation, m = ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

y = 5•x + 2

Part C:

The slope of the function is the coefficient of the variable x in the equation, y = m•x + c

The slope of the plot, 5, indicates that each worker produces 5 units daily

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

The y-intercept of the linear equation, y = 5•x + 2, which is 2, indicates that the initial number of units of products at the factory before workers arrive is 2.

Learn more about finding relationship between variables here:

brainly.com/question/4219149

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7 0

1 year ago

A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?​

A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?